Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2

Name: Solved: Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2 - MathMaster
Brand: MathMaster
Rating: 4.9 (125 reviews)

125

likes

626 views

Answer to a math question Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2

$Expert avatar$

Birdie

4.5

104 Answers

$\frac{dy}{dx}=cosx\cos x-\sin x\sin x=\cos(2x)$

$-1\left(x-\pi/2\right)=\left(y-0\right)$

$y=-x+\pi/2$

Frequently asked questions (FAQs)

What is the resultant vector when a displacement vector of magnitude 10 and direction 30 degrees is added to a vector of magnitude 15 and direction 120 degrees?

What is the equation of an exponential function that passes through point (2, 4) and has a horizontal asymptote at y = 3?

What is the value of sin(60°) in the trigonometric table?

New questions in Mathematics

A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?

11(4x-9)= -319

All the liquid contained in a barrel is distributed into 96 equal glasses up to its maximum capacity. We want to pour the same amount of liquid from another barrel identical to the previous one into glasses identical to those used, but only up to 3/4 of its capacity. How many more glasses will be needed for this?

prove that if n odd integer then n^2+5 is even

Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.

Solve : 15/16 divide 12/8 =x/y

I want you to solve this problem as a grade sixth pupil in primary school: 8 Pigs ate 6 bags of fee in 20 days. How long will it take 10 pigs to eat 15 bags of feed eating at the same rate?

It is known that the content of milk that is actually in a bag distributes normally with an average of 900 grams and variance 25 square grams. Suppose that the cost in pesos of a bag of milk is given by 𝐶(𝑥) = { 3800 𝑠𝑖 𝑥 ≤ 890 4500 𝑠𝑖 𝑥 > 890 Find the expected cost.

You are the newly appointed transport manager for Super Trucking (Pty) Ltd, which operates as a logistics service provider for various industries throughout southern Africa. One of these vehicles is a 4x2 Rigid Truck and drawbar trailer that covers 48,000 km per year. Use the assumptions below to answer the following questions (show all calculations): Overheads R 176,200 Cost of capital (% of purchase price per annum) 11.25% Annual License Fees—Truck R 16,100 Driver Monthly cost R 18,700 Assistant Monthly cost R 10,500 Purchase price: - Truck R 1,130,000 Depreciation: straight line method Truck residual value 25% Truck economic life (years) 5 Purchase price: Trailer R 370,000 Tyre usage and cost (c/km) 127 Trailer residual value 0% Trailer economic life (years) 10 Annual License Fees—Trailer R 7,700 Fuel consumption (liters/100km) 22 Fuel price (c/liter) 2053 Insurance (% of cost price) 7.5% Maintenance cost (c/km) 105 Distance travelled per year (km) 48000 Truck (tyres) 6 Trailer (tyres) 8 New tyre price (each) R 13,400 Lubricants (% of fuel cost) 2.5% Working weeks 50 Working days 5 days / week Profit margin 25% VAT 15% Q1. Calculate the annual total vehicle costs (TVC)